Finding the Third Proportional to 30,029 and 69,510

Step by Step Solution

1. Step 1: Write the proportion equation
   30,029 : 69,510 = 69,510 : x
2. Step 2: Convert to fraction form
   30,029/69,510 = 69,510/x
3. Step 3: Cross multiply
   30,029x = 69,510 × 69,510
4. Step 4: Simplify right side
   30,029x = 4,831,640,100
5. Step 5: Solve for x
   x = 4,831,640,100/30,029
6. Step 6: Final answer
   x = 160,899.13